Prime p₀= 1222590359633126357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1222589304628333997	0 24 66 80 90 92 104 122 234 252 264 266 276 290 332 356	-1055004792360
SPT(16)	1222589412970030051	0 78 88 108 160 178 202 282 316 396 420 438 490 510 520 598	-946663096306
SPT(16)	1222589734422031033	0 18 24 60 78 84 94 106 108 120 130 136 154 190 196 214	-625211095324
SPT(16)	1222589861263614313	0 4 16 18 40 106 136 148 186 198 228 294 316 318 330 334	-498369512044
SPT(16)	1222589971094473249	0 30 90 114 144 168 184 190 198 204 220 244 274 298 358 388	-388538653108
STPT(10)	1222590040187066987	0 2 60 62 102 104 144 146 204 206	-319446059370
SPT(16)	1222590502898249183	0 110 140 188 200 230 270 296 378 404 444 474 486 534 564 674	143265122826
STPT(10)	1222590950518895141	0 2 30 32 60 62 90 92 120 122	590885768784
SPT(16)	1222590952288832053	0 54 64 70 120 124 148 160 168 180 204 208 258 264 274 328	592655705696
SPT(16)	1222591086992731861	0 40 42 48 58 96 100 118 150 168 172 210 220 226 228 268	727359605504
STPT(12)	1222591215725976869	0 2 12 14 42 44 48 50 78 80 90 92	856092850512